331012422121311 has 288 divisors, whose sum is σ = 600652199347200. Its totient is φ = 171822277186560.

The previous prime is 331012422121291. The next prime is 331012422121331. The reversal of 331012422121311 is 113121224210133.

331012422121311 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 12 + 422 + 1 + 213 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (331012422121291) and next prime (331012422121331).

It is not a de Polignac number, because 331012422121311 - 2¹³ = 331012422113119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331012422121331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30398784355 + ... + 30398795243.

It is an arithmetic number, because the mean of its divisors is an integer number (2085597914400).

Almost surely, 2^{331012422121311} is an apocalyptic number.

331012422121311 is a deficient number, since it is larger than the sum of its proper divisors (269639777225889).

331012422121311 is a wasteful number, since it uses less digits than its factorization.

331012422121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 331012422121311 its reverse (113121224210133), we get a palindrome (444133646331444).

The spelling of 331012422121311 in words is "three hundred thirty-one trillion, twelve billion, four hundred twenty-two million, one hundred twenty-one thousand, three hundred eleven".